Show the Proof¶

In [1]:

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

Out[1]:

	step type	requirements	statement
0	instantiation	1, 2, 3, 4, 5, 6	⊢
	: , : , : , :
1	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
2	reference	27	⊢
3	instantiation	7	⊢
	: , :
4	instantiation	7	⊢
	: , :
5	instantiation	8, 15, 9	⊢
	: , :
6	instantiation	10, 15, 11, 12^, 13^	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
8	theorem		⊢
	proveit.numbers.multiplication.commutation
9	instantiation	40, 16, 34	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.exponentiation.product_of_posnat_powers
11	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
12	instantiation	14, 15	⊢
	:
13	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
14	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
15	instantiation	40, 16, 17	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
17	instantiation	18, 19, 20	⊢
	: , :
18	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
19	instantiation	40, 36, 21	⊢
	: , : , :
20	instantiation	22, 34, 29, 23	⊢
	: , :
21	instantiation	40, 38, 24	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.division.div_real_closure
23	instantiation	25, 26	⊢
	: , :
24	instantiation	40, 41, 27	⊢
	: , : , :
25	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
26	instantiation	28, 33, 29, 30	⊢
	: , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
28	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
29	instantiation	31, 33, 34, 35	⊢
	: , : , :
30	instantiation	32, 33, 34, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
34	instantiation	40, 36, 37	⊢
	: , : , :
35	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
37	instantiation	40, 38, 39	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	instantiation	40, 41, 42	⊢
	: , : , :
40	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements